#1 is huge, I've seen way too many women try to be one of the guys and do things like tag along to awful events like lunch at the strip club or hooters because they want to seem 'fun'. Just a disaster of a strategy.
I mean if you're a woman who wants to go to hooters then by all means go to hooters, but be who you are not one of the guys.
#3 is not always true, I've worked at some companies where HR actually has power and is an ally of employees, but yeah in the majority of companies they are effectively rubber stamps for whatever the CEO says regardless of ethics or legality. In those organizations just know that HR is your enemy, not a resource.